Mass gap without vacuum energy

Abstract

We consider soft nonlocal deformations of massless theories that introduce a mass gap. By use of a renormalization scheme that preserves the ultraviolet softness of the deformation, renormalized quantities of low mass dimension, such as normal mass terms, vanish via finite counterterms. The same applies to the renormalized cosmological constant. We connect this discussion to gauge theories, since they are also subject to a soft nonlocal deformation due to the effects of Gribov copies. These effects are softer than usually portrayed.

7 pages

References in corpus (3)

• Introduction to the Gribov Ambiguities In Euclidean Yang-Mills Theories
• Dpes massless QCD have vacuum energy?
• Counting Gribov copies

Cited by in corpus (8)

• Gauge Assisted Quadratic Gravity: A Framework for UV Complete Quantum Gravity
• Inducing the Einstein action in QCD-like theories
• On the gauge invariant path-integral measure for the overlap Weyl fermions in $\underline{16}$ of SO(10)
• Why is the mission impossible? -- Decoupling the mirror Ginsparg-Wilson fermions in the lattice models for two-dimensional abelian chiral gauge theories
• Deep learning inference of the neutron star equation of state
• Soft asymptotics with mass gap
• Neutron stars and the cosmological constant problem
• Gribov copies and topological charge